class Solution {
public:
    vector<int> productExceptSelf(vector<int>& nums) {
        int n = nums.size();
        vector<int> lprod(n), rprod(n);
        lprod[0] = 1, rprod[n - 1] = 1;

        for (int i = 1; i < n; i++)
            lprod[i] = lprod[i - 1] * nums[i - 1];
        for (int i = n - 2; i >= 0; i--)
            rprod[i] = rprod[i + 1] * nums[i + 1];

        vector<int> ret(n);
        for (int i = 0; i < n; i++)
            ret[i] = lprod[i] * rprod[i];
        return ret;

    }
};